# How do you solve 2s-4.2=-8s+8?

Apr 28, 2017

See the entire solution process below:

#### Explanation:

First, add $\textcolor{red}{4.2}$ and $\textcolor{b l u e}{8 s}$ to each side of the equation to isolate the $s$ term while keeping the equation balanced:

$\textcolor{b l u e}{8 s} + 2 s - 4.2 + \textcolor{red}{4.2} = \textcolor{b l u e}{8 s} - 8 s + 8 + \textcolor{red}{4.2}$

$\left(\textcolor{b l u e}{8} + 2\right) s - 0 = 0 + 12.2$

$10 s = 12.2$

Now, divide each side of the equation by $\textcolor{red}{10}$ to solve for $s$ while keeping the equation balanced:

$\frac{10 s}{\textcolor{red}{10}} = \frac{12.2}{\textcolor{red}{10}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{10}}} s}{\cancel{\textcolor{red}{10}}} = 1.22$

$s = 1.22$